Question

The measurement of an angle is five times the measurement of its supplement.What is the measurement of the angle? Is it 30°, 35°, 40°, or 45°?

Answer 1

Two angles that are supplements add up to 180°.

"The angle" is five times its supplement.

If I call the supplement 'S', then 'the angle' = 5S .

S + 5S = 180°

Combine like terms: 6S = 180°

Divide each side by 6 : S = 30°

The supplement of 'the angle' = 30°.
That's one of the choices.

"The angle" = 5S = 150°.
That's NOT one of the choices.